Finding the Third Proportional to 7,778.25 and 16,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,778.25 : 16,996.50 = 16,996.50 : x
2. Step 2: Convert to fraction form
   7,778.25/16,996.50 = 16,996.50/x
3. Step 3: Cross multiply
   7,778.25x = 16,996.50 × 16,996.50
4. Step 4: Simplify right side
   7,778.25x = 288,881,012.25
5. Step 5: Solve for x
   x = 288,881,012.25/7,778.25
6. Step 6: Final answer
   x = 37,139.59